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22049952 = 2531759229
BaseRepresentation
bin101010000011…
…1010010100000
31112111020211220
41110013102200
521121044302
62104335040
7355264401
oct124072240
945436756
1022049952
11114a0501
127474480
134750512
142cdd9a8
151e084bc
hex15074a0

22049952 has 96 divisors (see below), whose sum is σ = 62596800. Its totient is φ = 6770688.

The previous prime is 22049921. The next prime is 22049953. The reversal of 22049952 is 25994022.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22049953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96174 + ... + 96402.

It is an arithmetic number, because the mean of its divisors is an integer number (652050).

Almost surely, 222049952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22049952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31298400).

22049952 is an abundant number, since it is smaller than the sum of its proper divisors (40546848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22049952 is a wasteful number, since it uses less digits than its factorization.

22049952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 22049952 is about 4695.7376417343. The cubic root of 22049952 is about 280.4158446836.

It can be divided in two parts, 2 and 2049952, that multiplied together give a palindrome (4099904).

The spelling of 22049952 in words is "twenty-two million, forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 68 96 102 118 136 177 204 229 236 272 354 408 458 472 544 687 708 816 916 944 1003 1374 1416 1632 1832 1888 2006 2748 2832 3009 3664 3893 4012 5496 5664 6018 7328 7786 8024 10992 11679 12036 13511 15572 16048 21984 23358 24072 27022 31144 32096 40533 46716 48144 54044 62288 81066 93432 96288 108088 124576 162132 186864 216176 229687 324264 373728 432352 459374 648528 689061 918748 1297056 1378122 1837496 2756244 3674992 5512488 7349984 11024976 22049952